Add animated "tv static" effect to object in animation?
Just use any high frequency texture like a small scale Voronoi, Noise or similar, attached to your shader, like an Emission and then animate it.

In this example I use a Voronoi texture, set to Cells with a high scale value. Then just animate any parameters you like.
Easists and most seamless would probably be animating the position of the texture. If the speed is higher than the animation frame rate it will just look like it is changing randomly.

Use a Color Ramp node to adjust coloring and intensity as desired.